What is the answer to |d+8|-10=-9 ?

The answer to |d+8|-10=-9 is d=-9\lor d=-7

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|d+8|-10=-9

∣ d + 8 ∣ - 10 = - 9

d = - 9 or d = - 7

Solution steps

∣ d + 8 ∣ - 10 = - 9

Move

10

to the right side

∣ d + 8 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

d + 8 = - 1 or d + 8 = 1

d + 8 = - 1 or d + 8 = 1

d = - 9 or d = - 7

x^{2} - 1 = ∣ x ∣

x^{2} = ∣ 5 x + 6 ∣

\frac{3}{2} x - 6 = 6

4 ∣ 3 x - 4 ∣ = 32

- 8 ∣ n ∣ + 7 = - 41